1966292134920 has 48 divisors (see below), whose sum is σ = 6390449439660. Its totient is φ = 524344569216.

The previous prime is 1966292134909. The next prime is 1966292134921. The reversal of 1966292134920 is 294312926691.

1966292134920 is a `hidden beast` number, since 1 + 9 + 6 + 6 + 292 + 1 + 349 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1937213018244 + 29079116676 = 1391838^2 + 170526^2 .

It is not an unprimeable number, because it can be changed into a prime (1966292134921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2730960939 + ... + 2730961658.

Almost surely, 2^{1966292134920} is an apocalyptic number.

1966292134920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966292134920 is an abundant number, since it is smaller than the sum of its proper divisors (4424157304740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1966292134920 is a wasteful number, since it uses less digits than its factorization.

1966292134920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461922614 (or 5461922607 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1966292134920 in words is "one trillion, nine hundred sixty-six billion, two hundred ninety-two million, one hundred thirty-four thousand, nine hundred twenty".